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Finding the Third Proportional to 46,431.38 and 101,763.19

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Solution

The third proportional to 46,431.38 and 101,763.19 is: 223,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,431.38 : 101,763.19 = 101,763.19 : x
  2. Step 2: Convert to fraction form
    46,431.38/101,763.19 = 101,763.19/x
  3. Step 3: Cross multiply
    46,431.38x = 101,763.19 × 101,763.19
  4. Step 4: Simplify right side
    46,431.38x = 10,355,746,330.16
  5. Step 5: Solve for x
    x = 10,355,746,330.16/46,431.38
  6. Step 6: Final answer
    x = 223,033.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.